Berezinskii - Kosteriltz - Thouless transition in disordered multichannel Luttinger liquids.

Jones, Max, Lerner, Igor V. and Yurkevich, Igor V. (2017). Berezinskii - Kosteriltz - Thouless transition in disordered multichannel Luttinger liquids. Physical Review B, 96 , p. 174210.

Abstract

We study the phase transition between conducting and insulating states taking place in disordered multichannel Luttinger liquids with interchannel interactions. We derive renormalization-group equations which are perturbative in disorder but nonperturbative in interaction. In the vicinity of the simultaneous phase transition in all channels, these equations become a set of coupled Berezinskii-Kosterlitz-Thouless equations, which we analyze within two models: an array of identical wires and a two-channel model with distinct channels. We show that a competition between disorder and interaction results in a variety of phases, expected to be observable at intermediate temperatures where the interaction and disorder are relevant but weak hybridization and the charge-density-wave interaction may be ignored.

Publication DOI: https://doi.org/10.1103/PhysRevB.96.174210
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: © 2017 American Physical Society Funding: Leverhulme Trust via Grant No. RPG-2016-044
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Related URLs: https://www.sco ... a6ac997dddcf91a (Scopus URL)
Published Date: 2017-11-27
Authors: Jones, Max
Lerner, Igor V.
Yurkevich, Igor V. ( 0000-0003-1447-8913)

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